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Finding the Fourth Proportional to 971.07, 1,448.31 and 825.77

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Solution

The fourth proportional to 971.07, 1,448.31 and 825.77 is: 1,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.07 : 1,448.31 = 825.77 : x
  2. Step 2: Convert to fraction form
    971.07/1,448.31 = 825.77/x
  3. Step 3: Cross multiply
    971.07x = 1,448.31 × 825.77
  4. Step 4: Simplify right side
    971.07x = 1,195,963.71
  5. Step 5: Solve for x
    x = 1,195,963.71/971.07
  6. Step 6: Final answer
    x = 1,231.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.